We investigate the dynamics of a one-dimensional oscillator made of a mass connected to a circular spring under uniaxial extension. The functional dependence of the elastic energy on the strain is obtained by solving the differential equations resulting from a variational formalism common to Euler's elastica problem. The calculated nonlinear force agrees with the experiment, confirming the anharmonic nature of the oscillator.
Anharmonic dynamics of a mass O-spring oscillator.
FILIPPONI, Adriano;
2011
Abstract
We investigate the dynamics of a one-dimensional oscillator made of a mass connected to a circular spring under uniaxial extension. The functional dependence of the elastic energy on the strain is obtained by solving the differential equations resulting from a variational formalism common to Euler's elastica problem. The calculated nonlinear force agrees with the experiment, confirming the anharmonic nature of the oscillator.File in questo prodotto:
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